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Finding the Third Proportional to 580,128 and 1,229,856

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Solution

The third proportional to 580,128 and 1,229,856 is: 2,607,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,128 : 1,229,856 = 1,229,856 : x
  2. Step 2: Convert to fraction form
    580,128/1,229,856 = 1,229,856/x
  3. Step 3: Cross multiply
    580,128x = 1,229,856 × 1,229,856
  4. Step 4: Simplify right side
    580,128x = 1,512,545,780,736
  5. Step 5: Solve for x
    x = 1,512,545,780,736/580,128
  6. Step 6: Final answer
    x = 2,607,262.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.